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(* Title: "MathEngBasic/tactic.sml"
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Author: Walther Neuper
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(c) due to copyright terms
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*)
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"-----------------------------------------------------------------------------------------------";
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"table of contents -----------------------------------------------------------------------------";
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"-----------------------------------------------------------------------------------------------";
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"-----------------------------------------------------------------------------------------------";
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"----------- fun result, fun creates_assms -----------------------------------------------------";
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"----------- fun subst_adapt_to_type -----------------------------------------------------------";
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"-----------------------------------------------------------------------------------------------";
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"-----------------------------------------------------------------------------------------------";
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"-----------------------------------------------------------------------------------------------";
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"----------- fun result, fun creates_assms ---------------------------------------------------";
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"----------- fun result, fun creates_assms ---------------------------------------------------";
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"----------- fun result, fun creates_assms ---------------------------------------------------";
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val thm'' = ("real_mult_div_cancel2", @{thm real_mult_div_cancel2});
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val (f, res) = (@{term "a * x / (b * x) :: real"}, (@{term "a / b :: real"}, [@{term "k \<noteq> (0 :: real)"}]: term list))
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;
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Rewrite': ThyC.id * Rewrite_Ord.id * Rule_Set.T * bool * ThmC.T * term * Calc.result -> Tactic.T;
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val tac = Rewrite' ("Diff", "dummy_ord", Rule_Set.empty, true, thm'', f, res)
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;
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if (Tactic.result tac |> UnparseC.term) = "a / b" then () else error "creates_assms CHANGED";
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if (Tactic.creates_assms tac |> UnparseC.terms) = "[\"k \<noteq> 0\"]" then () else error "creates_assms CHANGED";
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"----------- fun subst_adapt_to_type -----------------------------------------------------------";
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"----------- fun subst_adapt_to_type -----------------------------------------------------------";
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"----------- fun subst_adapt_to_type -----------------------------------------------------------";
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val subs = ["(''bdv'', x)"];
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val [((Free ("bdv", T1)), Free ("x", T2))] = subst_adapt_to_type ctxt subs;
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if T1 = HOLogic.realT andalso T2 = HOLogic.realT
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then () else error "subst_adapt_to_type CHANGED";
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